Phys. Rev. A 67, 053808 (2003) [12 pages]Algebraic approach to the Tavis-Cummings problemReceived 9 November 2001; revised 24 May 2002; published 28 May 2003 An algebraic method is introduced for an analytical solution of the eigenvalue problem of the Tavis-Cummings Hamiltonian, based on polynomially deformed su(2), i.e., sun(2) algebras. In this method the eigenvalue problem is solved in terms of a specific perturbation theory, developed here up to third order. Generalization to the N-atom case of the Rabi frequency and dressed states is also provided. A remarkable enhancement of spontaneous emission of N atoms in a resonator is found to result from collective effects. © 2003 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevA.67.053808
DOI:
10.1103/PhysRevA.67.053808
PACS:
42.50.Ct
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